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Finding the Fourth Proportional to 8,730, 13,113.06 and 7,066.08

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Solution

The fourth proportional to 8,730, 13,113.06 and 7,066.08 is: 10,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730 : 13,113.06 = 7,066.08 : x
  2. Step 2: Convert to fraction form
    8,730/13,113.06 = 7,066.08/x
  3. Step 3: Cross multiply
    8,730x = 13,113.06 × 7,066.08
  4. Step 4: Simplify right side
    8,730x = 92,657,931.00
  5. Step 5: Solve for x
    x = 92,657,931.00/8,730
  6. Step 6: Final answer
    x = 10,613.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.